Question

An airplane accelerates down a runway at 3.20 m/s2 for 32.8 s until is finally lifts off the ground. Determine the distance traveled before takeoff.

Answer 1

The distance traveled under the constant acceleration $a = 3.2m/s^2$ in time $t = 32.8s$ is (assume starting from rest):

$$d = \dfrac{at^2}{2}\\ d = \dfrac{3.2\cdot 32.8^2}{2} \approx 1721m$$

Answer. 1721 m.